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Finding the Fourth Proportional to 23,541.28, 35,311.92 and 7,958.50

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Solution

The fourth proportional to 23,541.28, 35,311.92 and 7,958.50 is: 11,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,541.28 : 35,311.92 = 7,958.50 : x
  2. Step 2: Convert to fraction form
    23,541.28/35,311.92 = 7,958.50/x
  3. Step 3: Cross multiply
    23,541.28x = 35,311.92 × 7,958.50
  4. Step 4: Simplify right side
    23,541.28x = 281,029,915.32
  5. Step 5: Solve for x
    x = 281,029,915.32/23,541.28
  6. Step 6: Final answer
    x = 11,937.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.